Tara is cutting a 10 3/8 -foot piece of wood to make shelves for her bedroom. How many complete shelves can she 2 5/8 make if each shelf measures feet?
A. 1
B. 2
C. 3
D. 4
I want to know the answer
To find out how many complete shelves Tara can make, we need to first calculate the length of each shelf.
The length of each shelf is given as 2 5/8 feet. We can convert this into an improper fraction for easier calculation.
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Now, let's divide the total length of the wood by the length of each shelf to find the number of complete shelves Tara can make.
10 3/8 = (10 * 8 + 3) / 8 = 83/8
To divide fractions, we invert the second fraction (length of each shelf) and multiply:
83/8 ÷ 21/8 = 83/8 * 8/21 = (83 * 8)/(8 * 21) = 664/168 = 83/21
So, Tara can make 83/21 complete shelves.
To find the simplified answer, we can divide the numerator (83) by the denominator (21):
83 ÷ 21 = 3 remainder 20
So, Tara can make 3 complete shelves, with a remainder of 20/21 feet.
Therefore, the answer is C. 3.
feet ÷ feet/shelf = shelves
10 3/8 ÷ 2 5/8 = 83/8 ÷ 21/8 = 83/21 = ____